CONTENTS 1. Introduction 630 2. Main Cosmic γ-ray (CGR) Production Processes. Interaction of CGR with Interstellar and Intergalactic Matter 631 3. Methods of Study of CGR 632 4. Comparability of Experimental Results. Calibration of γ Detectors 634 5. Conditions of CGR Study. Atmospheric and Local Backgrounds 635 6. Results of Diffuse CGR Measurement in Balloons. The γ-ray Flux Extrapolated to the Top of the Atmosphere 637 7. Results of Measurements in Satellites. The Isotropic Component of Diffuse CGR 638 8. Galactic Anisotropy of the Diffuse CGR Flux 639 9. The Search for Discrete CGR Sources 640 10. γ Rays from the Crab Nebula 643 11. γ Rays of the Extragalactic Sources Cygnus A (CA) and Virgo A (VA) 643 12. γ Radiation of the Sun 644 13. Interpretation of the Results of CGR Study 645 14. The Outlook for Further CGR Study 648 References 649